Water-responsive materials and uses therefor

ABSTRACT

A rotary engine that generates electricity using differences in relative humidity. A water-responsive material expands and contracts as water evaporates which drives the rotation of two wheels. The rotary motion drives an electrical generator which produces electricity. In another embodiment, the water-responsive material is used to actuate an artificial muscle of a robotic device.

CROSS-REFERENCE TO RELATED APPLICATIONS

This application claims priority to, and is a non-provisional of, U.S. patent applications 62/653,844 (filed Apr. 6, 2018) and 62/781,240 (filed Dec. 18, 2018), the content of which are hereby incorporated by reference.

BACKGROUND OF THE INVENTION

The subject matter disclosed herein relates to the production of energy using renewal green sources. In another embodiment, the subject matter relates the actuation of a robotic appendage using an artificial muscle.

The human need for sources of electrical energy is consistently increasing. At the same time, concerns related to fossil fuels and climate change have rendered many forms of electrical energy production less desirable. The green-energy industry has responded by developing additional methods of generating electricity that are more environmentally friendly.

One critical drawback of sources of green energy is the factor of environmental dependency. Hydroelectric power-plants need natural or human-constructed falls and dams. Photovoltaic cells need ample exposure to sunlight and windmills require strong winds. It would be desirable to provide additional methods for generating green energy and thereby expand the number of available options.

The discussion above is merely provided for general background information and is not intended to be used as an aid in determining the scope of the claimed subject matter.

SUMMARY

A rotary engine that generates electricity using differences in relative humidity (a relative humidity gradient). A water-responsive material expands and contracts as water evaporates which drives the rotation of wheels. The rotary motion drives an electrical generator which produces electricity. In another embodiment, the water-responsive material is used to actuate an artificial muscle of a robotic device.

In a first embodiment, a rotary engine is provided. The rotary engine comprising: an inner wheel having a first diameter and a first center; an outer wheel having a second diameter and a second center, wherein the second diameter is larger than the first diameter, wherein the inner wheel is disposed within the circumference; a crank with a first rod and a second rod, wherein the first rod and the second rod are non-aligned, the first rod passing through the first center and the second rod passing through the second center; a water-responsive material tensioned between the inner wheel and the outer wheel, wherein the water-responsive material is attached to (1) an outer circumference of the inner wheel and (2) an inner circumference of the outer wheel; a hood that at encloses at least a portion of an area of the outer wheel, but less than 100% of the area; and an electrical generator operatively connected to the inner wheel such that rotary motion of the inner wheel generates electricity.

In a second embodiment, an artificial muscle is provided. The artificial muscle comprising: A tube with a surface that is coated with a peptidoglycan, wherein humid air contacting the peptidoglycan causes hygroscopic expansion and contraction of the peptidoglycan, thereby actuating the tube.

This brief description of the invention is intended only to provide a brief overview of subject matter disclosed herein according to one or more illustrative embodiments, and does not serve as a guide to interpreting the claims or to define or limit the scope of the invention, which is defined only by the appended claims. This brief description is provided to introduce an illustrative selection of concepts in a simplified form that are further described below in the detailed description. This brief description is not intended to identify key features or essential features of the claimed subject matter, nor is it intended to be used as an aid in determining the scope of the claimed subject matter. The claimed subject matter is not limited to implementations that solve any or all disadvantages noted in the background.

BRIEF DESCRIPTION OF THE DRAWINGS

So that the manner in which the features of the invention can be understood, a detailed description of the invention may be had by reference to certain embodiments, some of which are illustrated in the accompanying drawings. It is to be noted, however, that the drawings illustrate only certain embodiments of this invention and are therefore not to be considered limiting of its scope, for the scope of the invention encompasses other equally effective embodiments. The drawings are not necessarily to scale, emphasis generally being placed upon illustrating the features of certain embodiments of the invention. In the drawings, like numerals are used to indicate like parts throughout the various views. Thus, for further understanding of the invention, reference can be made to the following detailed description, read in connection with the drawings in which:

FIG. 1 is a schematic top view of the general structure of a rotary engine;

FIG. 2 is a schematic side view of the general structure of the rotary engine;

FIG. 3 is a force diagram of the rotary engine;

FIG. 4 illustrates parts of the rotary engine;

FIG. 5A is a cross section side view of a rotary engine;

FIG. 5B is a cross section side view of a rotary engine with an electricity generator attached;

FIG. 6 is a side view of a vertical rotary engine;

FIG. 7A and FIG. 7B are schematic diagrams of a rotary engine in action;

FIG. 8 depicts the structure of peptidoglycan and its monomer;

FIG. 9 illustrates peptidoglycan-based film changes curvature in response to changes in RH;

FIG. 10A depicts graphs of AFM sectional topographies of three PG, with thickness at 90% and 10% RH;

FIG. 10B depicts are graphs showing steady state strain of three PG films;

FIG. 10C shows graphs depicting dynamic state height change of three PG showing their quick reaction to ambient RH;

FIG. 10D is a scatter plot of stiffness of the three PGs as a function of RH.

FIG. 11A is a schematic illustration of an AFM based thermodynamic cycle consist of applied force and varying RH to measure work done of PG during hydration-dehydration process;

FIG. 11B, FIG. 11C and FIG. 11D are graphs of force vs. displacement (FD) curves of three PG at different maximum pressures;

FIG. 11E is a graph of energy density of three PG at different maximum force;

FIG. 11F is a graph depicting the energy density and responsive strain of PG compared with existing humidity responsive material and some well-established stimuli responsive actuator;

FIG. 12A depicts graphs showing mass change of PG when RH varies from 10% to 90%;

FIG. 12B depicts volume change of PG when RH varies from 10% to 90%;

FIG. 12C depicts the relationship of PG's mass change vs volume change during a hydration process; and

FIG. 13 depicts a robotic appendage being actuated by a water-responsive material.

DETAILED DESCRIPTION OF THE INVENTION

As a source of clean renewable energy evaporation is not a common topic. Despite its ubiquitous nature little has been done to apply ambient environmental conditions to drive an engine with water-evaporation. The phenomenon of water responsiveness can be seen in nature with hygroscopic materials. As a humidity differential is applied to these materials they expand and contract in response. High humidity allows them to absorb moisture from the environment and extend, while low humidity causes moisture to be lost and results in contraction.

This disclosure pertains, in one embodiment, to water-responsive materials used to construct rotary engines that can operate on bodies of water and harvest evaporation energy. These engines generate rotary motion and electricity by utilizing evaporation energy. The power output of these engines is comparable to that of state-of-the-art solar power plants, but the capital and operating cost of these engines is much lower. In addition, these engines easily scale for large-scale applications. The rotary engine can operate purely on the energy contained within passively-evaporating water; that is, water that will evaporate under ambient conditions without a drastic change in pressure or temperature, such as conditions involved with boiling water. As used in this specification, the phrase “water-responsive” means the material expands or contracts upon exposure to a change in relative humidity.

FIG. 1 shows a top view of the general structure of the rotary engine 100. The rotary engine 100 is comprised of an inner wheel 101 and an outer wheel 102 which are of different diameters. Ball bearings 106 are installed at the centers of the wheels 101, 102 to minimize friction loss. The center 210 of the inner wheel 101 (which has a diameter that is smaller than that of the outer wheel 102) is some distance 200 (see FIG. 2) away from the center 212 of the outer wheel 102. This distance is dependent on the type of water-responsive material being used to form filaments 104. The filaments 104 are attached between the inner wheel 101 and the outer wheel 102. In one embodiment, there are between tens and thousands of filaments (e.g. 10 to 10,000 filaments). A hood 108 is made to create a humidity gradient between a proximate end 202 and a distal end 204 of the outer wheel 102. The hood 108 places a first portion 204′ (e.g. half) of the rotary engine 100 in a relatively high RH environment and a second portion 202′ of the rotary engine 100 in a relatively low RH environment.

In one embodiment, the rotary engine 100 comprises a lightweight extruded acrylic wheel 102 with a small acrylic wheel 101 near its geometric center. Water-responsive cellulose filaments 104 are attached around the circumference of the inner wheel 101, which radiates outward and connects to the outer wheel 102. In the embodiment of FIG. 1, there are support shafts (e.g. metal support shafts) to provide added stability, so the filaments 104 are each given an initial tension in order to “balance” the inner wheel 101 near the center of the outer wheel 102.

FIG. 2 depicts a side view of the rotary engine 100. A non-aligned two-rod crank 206 holds the inner wheel 101 and the outer wheel 102 in place. The hood 108 lets the whole rotary engine 100 float on a body of water 208 and creates a humidity gradient across the rotary engine 100.

FIG. 3 depicts a force diagram of the rotary engine 100. The part of the wheel shown is placed in a low RH environment, which makes the filaments shrink. One of the filaments is taken as an example. All filaments shown can be interpreted in the same manner. Owing to the shrinkage, the filament pulls the larger diameter of the larger wheel toward the center of the smaller wheel. The radius of the larger wheel serves as a lever arm. The torque is obtained by the cross product of force and the lever arm vectors, which is shown in Equation 1. τ=F×r  (1) where τ stands for torque, F stands for force and r stands for lever arm.

In one embodiment, many of the components may be made of acrylics or cellophane which were processed by a laser cutter. The drawing of each component is shown in FIG. 4. The following are the design concepts for each part.

The inner wheel 101 is the part to which the filaments 104 are attached. A ball bearing is installed at the center of the inner wheel 101 to minimize friction loss. The slits 402 are for hooks 406. Outer wheel 102 is the large wheel to which water-responsive filaments 104 (for example, cellulose filaments or other water-responsive materials or actuators, such as silk, peptidoglycan, hydrogels, and proteins) are attached. In one embodiment, the filaments 104 are biodegradable filaments which, coupled with the rotary engine's pollution-free energy transformation, allows the eventual minimization of carbon footprint to supersede the already minimal footprint for manufacturing of the rotary engine 100. The ball bearing 106 is installed at the center of the outer wheel 102 to minimize friction loss. The cuts in the rim of the outer wheel 102 are slits 400 for hooks 404. The non-aligned two-rod crank 206 is for connection of the inner wheel 101 and the outer wheel 102. This non-aligned two-rod crank is inserted through the respective centers of the ball bearings of the inner wheel 101 and the outer wheel 102. Hooks 404 are provided to clamp filaments 104 to the outer wheel 102. In one embodiment, there are thirty-six pairs of hooks 404. The hooks 404 are inserted to the slits 400 on the outer wheel 102. The hook 404 comprises two plates 404 a, 404 b that are squeezed together by screws and nuts to affix the filaments 104. Filaments 104 are also depicted. In one embodiment, there are thirty-six filaments 104.

Hooks 406 are provided to attach the filaments at slits 402 of the inner wheel 101. In one embodiment, there are thirty-six pairs of hooks 406. The hook 406 may be, for example, made of cardboard and may be glued to the filaments 104.

As a proof of concept, a humidity difference was produced artificially using moist napkins. Absorbent materials (e.g. a napkin) were fixed to the hood 108. RH in the hood 108 was increased by adding water onto the napkins. To adjust the tension in each filament 104, a spring balance was used to pull the filaments at a specific position of the lager wheel while the filaments 104 were tensioned. In this proof of concept, the filaments 104 were pulled with 0.1 N at the short end 502 of the wheel (see FIG. 5A). The center 210 of inner wheel 101 shifts to one end, which makes the long end 500. The short end 502 is opposite the long end 500 with regard to the diameter of the outer wheel 102.

As shown in FIG. 5B, coupling the rotary engine 100 with electricity generator 504 (e.g. a dynamo system) can be a new sustainable power generation technique. This new technique to generate electricity has many advantages over traditional electricity generator as well as other existing sustainable energy generator. In traditional power plants, combustion of fuels can have detrimental effects on environment. Solid waste and by-products generated in the electricity generating process can harm the environment permanently. Traditional ways of generating electricity liberate the trapped carbon elements to the atmosphere, boosting the greenhouse effect. The social cost of generating electricity by traditional methods is immeasurable. On the other hand, energy offered by windmills and solar plants is intermittent and limited by the environment. Energy storage systems are required to save the energy, which decreases energy efficiency.

In the embodiment of FIGS. 1-5B, the rotary engine 100 is in a horizontal position. FIG. 6 depicts a side view of a rotary engine 600 that is in a vertical position. The vertical rotary engine may be disposed perpendicular with respect to the surface of a body of water. The rotary engine 600 has filaments 604 as spokes, mounted inside a hood 608 held in place by a stand 609. Spacer 607 is pegged connector that bridges the front of the hood 608 to the back of the hood 608 and defines the width of the rotary engine 600. Hooks 605 are used to connect the filaments 604 to an outer wheel 602. A three-pronged peg 605 a is placed through corresponding holes in the outer wheel 602 and the plate 605 b is slid through the face of the outer wheel 602. They sandwich the filaments 604 in place. A screw is then inserted through the peg 605 a and plate 605 b and an appropriate nut is used to hold them tight in place. For illustrative purposes a filament 604 is shown that is attached to a hook 604 a. The hook 604 a can be used to attach the filament 604 to an inner wheel 601 while the filament's other end is attached to the outer wheel 602.

After selecting appropriate dimensions of the inner wheel 601 and outer wheel 602 it is possible to determine the dimensions of the hood 608, mounting stand 609, spacer 607, three-pronged pegs 605 a and plate 605 b. In one embodiment, the filaments 604 were cut to 4.125 inches. Twenty-four filaments were connected at 15-degree increments about the inner wheel 601 and the two wheels were cut to the following specifics—outer wheel 602: 9.5″ OD, 8″ ID; inner wheel 601 1.375″ OD, 0.375″ ID. In one embodiment, the outer wheel has a diameter that is between three times (3×) and seven times (7×) the diameter of the inner wheel. In one such embodiment, the outer wheel has a diameter that is between 4.5× and 5.5× the diameter of the inner wheel.

FIGS. 7A and 7B depict a rotary engine 700 in action. The rotary engine 700 comprises an inner wheel 701 (with a first center 710) and an outer wheel 702 (with a second center 712). In those embodiments in which the rotary engine is a vertical rotary engine, the first center 710 may be attached to a stand, such as stand 609 of FIG. 6. A hood 708 encloses at least a portion of the outer wheel 702. In the embodiment of FIG. 7A, between 50% and 75% of the surface area of the outer wheel 702 is enclosed to define a high RH volume. In one embodiment where cellulose filaments are used, the hood 708 is cut to accommodate 66% of the outer wheel 702. This is due to the experimental finding that dehydration of cellulose filaments (Cellophane PT 300) happens about three times faster than hydration. The inner wheel 701 is held in place, inside the hood, with a metal rod that functions as an axel. The un-enclosed area of the outer wheel 702 defines a low RH volume. As the filaments become tensioned and un-tensioned due the evaporation of water, the rotary engine 700 of FIG. 7A rotates in a counter-clockwise direction. This moves the first center 710 from a first rotary position shown in FIG. 7A to a second rotary position shown in FIG. 7B.

When generating electricity using the disclosed rotary engines, the social cost can be infinitesimal. The operating condition of the rotary engine is under ambient temperature and pressure and there are very limited by-products, which dramatically reduces the impact to environmental systems. The rotary engine can operate on any body of water. Strikingly, drier environments happen to possess better conditions for harvesting evaporation energy. This technique is revolutionary because the energy harvesting is not intermittent, and water can be served as a natural energy capacity, which preserves the energy conversion efficiency.

The disclosed evaporation-driven engine can be placed in almost any environment at any time of the day and still have a measurable energy output. Albeit, certain environmental conditions are helpful for maximized performance, the rotary engine will nevertheless work under almost any condition given an appropriate humidity gradient. If the ambient temperature is high enough to allow evaporation from a reservoir into the hood and the ambient water moister content is relatively low, the rotary engine would work best. However, the rotary engine will also work under contingent ambient conditions. The ease of assembly and maneuverability of the rotary engine also helps with environmental versatility, as the rotary engine could easily be moved to a new location for optimized performance.

The rotary engine also helps reduce the rate of evaporation of water. In places like California, where drought is apparent, would benefit from a minimization of water loss through surface evaporation. Small bodies of inland freshwater provide an appropriate platform to stage a scaled-up version of the rotary engine. Instead of allowing the reservoir to dry up and provide no beneficial result, the rotary engine can use the available energy in evaporating water and translate it into usable electrical energy. As the evaporated water from the reservoirs is passively channeled into a high RH hood, further means can be easily installed to allow the excess vapor in the hood to be led back into the reservoir through condensation. Eventually, when the freshwater does dry up, the rotary engine can be easily deconstructed and moved to a new location for repeated use. Thus, the loss of water through surface evaporation is lowered.

With evaporation being a central phenomenon in nature, scaling up the rotary engine would enable it to perform various tasks. Some tasks include (1) used as a substitute to fossil fuel power plants and (2) used as a substitute for automobile engine. Additionally, if scaled up, the device can be used to generate the electricity needed to power motors of small automated vehicles. The clean, renewable energy available for this engine would help reduce pollution caused by internal combustion engines. The device can be used to directly obtain mechanical work. A good example would be attaching the axel of the evaporation engine to wheels.

Some other devices utilize technology that is at least somewhat similar to the technology described in this disclosure but the previous technology relies on bacteria-coated polyimide tapes. In contrast, the filaments of the disclosed rotary engine are bacteria-free in that no addition bacteria has been coated on the filaments beyond those that are present on the surfaces of virtually all objections. This gives the disclosed filaments properties that are dissimilar to the properties of the bacteria-coated polyimides. For example, the filaments extend approximately 7% past their initial length over a two-minute interval when relative humidity is altered from ˜10% to ˜85%.

Peptidoglycan (PG) as a Water-Responsive Material

Many water-responsive materials are known to suffer from small-scale responsive locomotion and relatively low energy output, which impede their effective utility. The following disclosure demonstrates peptidoglycan (PG), which is the main component of bacterial cell wall, dramatically and reversibly deform driven by varying local humidity. The steady-state strain of PG can reach 30% and dynamic responsive time is less than one second. PG has extraordinary mechanical property with a high Young's modulus up to 5 GPa. The energy density of PG can reach 140 MJ per m³, which is higher than all existing humidity responsive material. A reversibly bending actuator was further prepared to demonstrate an example of an actuator and/or energy harvesting application. The mechanical energy density of peptidoglycan exceeds that of all other existing actuators and artificial muscles. This makes it an excellent building block for better actuators for broad applications. Such applications include energy harvesting, as described elsewhere in this specification, and artificial muscles.

Peptidoglycan, also known as murein, is a biopolymer naturally found in bacteria cell walls. It is aligned along the cell wall in a shell-liked structure, which provides rigidity to bacteria. Peptidoglycan is a water-responsive material that can shrink and swell in response to changes in relative humidity (RH). During this hydration and dehydration processes, its energy density is higher than that of all existing actuators and artificial muscles. Disclosed herein is a method for using peptidoglycan as a building block for high energy density water-responsive materials. Peptidoglycan can be mixed with other formula as a composite or standalone material. The actuation of the water-responsive materials can be transferred to other kinds of energy with various designs. For example, they can be used as an actuator and generate rotational movement, translational movement, expansion, contraction or any combination of these movements. Their mechanical actuation could also be converted to electricity when connected to an electric generator. Owing to the high reversibility, short responsive time, and high energy density, peptidoglycan is excellent for many potential applications such as robotics, biotechnology, medical devices, transportation, manipulations, power generation, energy storage systems, smart textile design, pumping systems, humidity sensors, etc.

The development of modern robotics is largely limited by the performance of artificial muscles. The remarkably high energy density of peptidoglycan can lead to the next generation artificial muscles that improve the performance of existing robotic systems and enable new designs. For example, the peptidoglycan based artificial muscles require less energy to produce the same amount of work, which can significantly extend the uptime of a robot.

Referring to FIG. 8 and Table 1, the structure of peptidoglycan differs among different bacterial strains; however, it follows a general pattern. The building blocks of peptidoglycan can be broken down to disaccharides comprising N-acetyl-muramic acid (NAM) and N-acetyl-glucosamine (Mur-Nac), and a peptide stem, formed by up to five amino acids. A monomer of the disaccharide attached to a peptide stem is called a muropeptide. The sugar component is composed of alternating residues of the two saccharides, which are linked via β-(1,4)-glycosidic bonds. The peptide moiety is attached to two N-acetyl-muramic acid residues of separate saccharide-strands, thereby crosslinking the two strands. This leads to the formation of a three-dimensional mesh-like polymer. In most cases, there are variations between the peptide stem or in the way of cross-linking.

TABLE 1 Amino acid variations in the peptide stem Position Residue encountered Examples R₁ L-Ala Most species Gly Mycobacterium leprae, Brevibacterium imperiale L-Ser Butyribacterium rettgeri R₂ D-Isoglutamate Most Gram-negative species D-Isoglutamine Most Gram-positive species, Mycobacteria threo-3- Microbacterium lacticum Hydroxyglutamate R₃ mseo-A₂pm Most Gram-negative species, Bacilli, Mycobacteria L-Lys Most Gram-positive species L-Orn Spirochetes, Thermus thermophilus L-Lys/L-Orn Bifidobacterium globosum L-Lys/D-Lys Thermotoga maritima LL-A₂pm Streptomyces albus, Propionibacterium petersonii meso-Lanthionine Fusobacterium nucleatum L-2,4-Diaminobutyrate Corynebacterium aquaticum L-Homoserine Corynebacterium poinsettiae L-Ala Erysipelothrix rhusiopathiae L-Glu Arthrobacter J. 39 Amidated meso-A₂pm Bacillus subtilis 2,6-Diamino-3- Ampuraliella regularis hydroxypimelate L-5-Hydroxylysine Streptococcus pyogenesz N′-Acetyl-L-2,4- Corynebacterium insidiosum diaminobutyrate R₄ D-Ala All bacteria R₅ D-Ala Most bacteria D-Ser Enterococcus gallinarum D-Lac Lactobacillus casei, Enterococci with acquired resistance to vancomycin

Existing protocols that were published previously are known to isolate the peptidoglycan (Kühner, D., Stahl, M., Demircioglu, D. D., & Bertsche, U. (2014) from cells to muropeptide structures in 24 h: peptidoglycan mapping by UPLC-MS. Scientific Reports, 4:7494).

The water-responsive properties of peptidoglycan was tested by depositing the peptidoglycan on thin polymer substrates. The substrates serve as an energy density indicator; if the energy density is high, the substrate will transform a lot with different humidity level and vice versa. In this case, the substrate surface curves more when RH is low and flattens when the RH is high. A KAPTON® thin window film with 0.3 mil (8 μm) thicknesses were used as the substrates. The substrates are cut into 3 mm×5 mm rectangular pieces. To distribute peptidoglycan evenly on the surface, plasma treatment was performed on the substrates to enhance the adhesion force before peptidoglycan is deposited. The test solution is prepared by mixing peptidoglycan and distilled water. The thickness of the peptidoglycan layer on the substrate after evaporation of water is calculated to be approximately 3 μm. The prepared peptidoglycan-based water-responsive material curves when RH is low and flattens when RH is high. See FIG. 9. The curvature indicates high energy density of peptidoglycan extracted from E. coli.

Atomic force microscope (AFM) is used to measure the swelling rate of extracted peptidoglycan. Peptidoglycan from B. subtilis is also tested. A chamber was used to cover the AFM to create an environment in which the RH is adjustable. 15 μl of peptidoglycan is dripped onto an SiO₂ substrate and after the water on the substrate has evaporated, the volume change of peptidoglycan can be determined. Dry and moist air is blown onto the substrate at different times to create an environment of low or high RH, respectively. For the peptidoglycan from E. coli, the thickness on a specific point is 408.280 nm when RH is 6.4% and 454.387 nm when RH is 92%. The swelling rate is 11.3% in this case. For the peptidoglycan from B. subtilis, the thickness on a specific point is 269.387 nm when RH is 5.1% and 359.346 nm when RH is 88%. The swelling rate is 33.5%.

The PG existing in bacterial cell wall of B. subtilis, S. aureus and S. cerevisiae, was also studied because they all from gram-positive bacterial with thick multi-layer of PG. The water responsive steady-state strain of PG is carried out by dividing the vertical size change of PG with their original thickness, which can be characterized by AFM with changing RH in the chamber. The shift in RH from 10% to 90% with 10% steps is achieved by a customized humidity system. The AFM topographic images of PG was captured at each 10% RH level. The captured images at 10% RH and 90% RH showed that all three PG has significant expansion in time of increasing RH. By analyzing corresponding height profile of each image (FIG. 10A) and dividing the size change to PG's original thickness, water responsive steady-state strain of PG was obtained (FIG. 10B). According to FIG. 10B, there is a diversity in water responsive property between PG from difference bacterial cell wall. The largest responsive strain was gained by PG from B. subtilis, which is 27.2%. At the same time, both PG from S. aureus (19.1%) and S. cerevisiae (11.2%) has above 10% humidity responsive strain. Comparing this responsive strain to that of B. subtilis spore (about 12%), PG is assumed to be the major humidity responsive component of spore.

In an additional experiment, two tiny air tubes were inserted into AFM chamber to make local RH at PG achieve abruptly change. The air tubes were connected with a solenoid valve, which is capable of switching dry air and humidity air. By applying square wave digital signal to the valve, the dynamic humidity cycles were obtained (FIG. 10C). Responding to the abruptly changing humidity, PG's dynamic deformation on the vertical direction is reflected by the Z-piezo signal of AFM. The Z-piezo signal was monitored by extracting output signal of AFM directly and reading in a customized LABVIEW® program. As shown in FIG. 10C, real time expansion of PG response to fast-changing RH is captured. PG react rapidly to RH without almost no delay. In hydration process, when the water is absorbing by PG, PG does not reach its maximum height abruptly. Whereas in dehydration process, PG expel water and restore to their original thickness within 2 s. Such difference may indicate that there are different diffusion mechanisms dominate the swelling/shrinkage process of PG, which may be related to PG's unique structure.

The stiffness of responsive material play an important role in application. AFM nanoindentation measurement is applied here to investigate Young's modulus of PG. To measure the Young's modulus, PG sample was indented by an AFM tip with 250 nm radius. During RH change steadily from 10% to 90%, typical force vs. distance (FD) curve of indentation at each 10% RH can be obtained by single ramp function of AFM contact mode. Young's modulus of PG was determined by fitting these FD curve in Hertz model of contact mechanics. FIG. 11D shows the evolution of young's modulus as a function of alternating RH. Notably, PG from all three species has high Young's modulus at dry state (about 1 GPa to 5 GPa). Comparing with three PG from different bacterial species, PG from B. subtilis, which has highest responsive strain has smallest Young's modulus. PG from S. cerevisiae, which has lowest responsive strain has largest Young's modulus instead. When RH is increasing, stiffness of PG gradually decreases in a non-linear relationship. When RH is low, one assumes there is cavitation forming inside of the water that confined in the porous structure of PG. Such cavitation contains large negative pressure that support the structure of PG and provide significant stiffness. Whereas when RH is increasing, the cavitation will be replaced by water molecules and weaken the mechanical property of PG. FIG. 10D is a scatter plot of stiffness of the three PGs as a function of RH.

To quantify the energy contained by PG during a hydration-dehydration process, a thermodynamic cycle was introduced that included indenting force provided by AFM cantilever coupled with the above-mentioned dynamic humidity system. See FIG. 11A. The whole thermodynamic cycle has four stages. Before the cycle starts, the PG rests at low RH, while AFM tip maintains contacting with PG by applying a negligibly small force. In stage I, loading force provided by AFM cantilever begin to increase until reach predetermined value. In stage II, when the PG is subject to high RH, its thickness expands dramatically which is represented by deflection signal of AFM cantilever. In stage III, the loading force decrease back to zero. In stage IV, the cycle is completed by switching to low RH, when the PG will restore to its original thickness. Customized LABVIEW® program can continually run this cycle and monitor all loading force and displacement data. By aligning these data with time, force vs. displacement curve can be plotted. The area enclosed by such curve is the actual work done of PG correspond to the thermal dynamic cycle. Work done was measured of all three different PG (B. subtilis, S. aureus and S. cerevisiae) at different maximum loading force (FIG. 11B, FIG. 11C and FIG. 11D). However, rather than comparing energy work between all responsive materials, comparing energy density is a more valuable and reliable method. Energy density is evaluated by dividing the work done of one thermodynamic cycle to the volume contributed to this work. FIG. 11E reveals the energy density of three PG with three different maximum force. The energy density approximately increases with the maximum loading force, while PG from B. subtilis has higher (up to 161 MJ/m³) energy density than S. aureus and S. cerevisiae (up to 50 MJ/m³ and 30 MJ/m³). The maximum value of PG's energy density is 10 times higher than reported uppermost (Bacterial spore, 10 MJ/m³). In FIG. 11F, the energy density and responsive strain of PG is compared with existing humidity responsive material and some well-established stimuli responsive actuator. Both energy density and humidity responsive strain of PG are the existing highest value, thus make PG potentially become a competitive building block in application of sensor, smart robot, artificial muscle and energy harvesting devices.

To further confirm the practical application potential of PG, PG was assembled with adhesive and scale up the humidity responsive phenomenon. Three bacterial PG, B. subtilis, S. aureus and S. cerevisiae were mixed with an adhesive, and then deposit 3 μm PG layer onto a 3 mm×5 mm×8 μm polyimide film. Once the solution was completely dried, the film was moved into a closed chamber with one side transparent wall. An inserted humidity sensor monitored the RH inside the chamber. The shape of the film correspond to varying RH can be captured by camera. The reversible bending of film is attributed to the expanding and contacting of PG when RH is changing. All captured pictures can be analyzed to extract the relationship between radius of curvature and RH, which can transfer into the relationship between responsive strain and RH. For elastically responsive material, the energy density can be approximately calculated by: ρ=E(δ)²/2, where E is young's modulus of the material and δ is the responsive strain.

The efficiency of energy transformation can be evaluated by the ratio between measured energy density and theoretical limit of chemical potential energy density. The work done per mole in evaporation process is given by the chemical potential difference in different humidity level: W=RT ln RH|_(RH) _(dry) ^(RH) ^(wet) where R is the gas constant and T is room temperature. By applying this equation to the current situation, where RH is from 5% to 90% during hydration-dehydration process of PG, the overall work done by water evaporation is 400 MJ/m³, which is the theoretical limit of energy density in evaporation.

The mass change of PG from 10% to 90% RH was measured to evaluate water absorption amount, which can lead to the ratio of water that involve in this work. The mass change is simply obtained by a digital balance with closed chamber that can vary RH. FIG. 12A, FIG. 12B and FIG. 12C shows that different species of PG has similar amount of water absorption, which PG from B. subtilis has 20.2%, from S. aureus has 19.9% and from S. cerevisiae has 16.8%. The resulting theoretical energy density are 106.5 MJ/m³ (B. subtilis), 104.8 MJ/m³ (S. aureus) and 88.5 MJ/m³ (S. cerevisiae), where the corresponding efficiency of energy transformation are 84.5%, 74.3% and 67.8%.

At the same time, the volume change of PG via swelling is estimated by taking measured one-dimensional steady state strain to three-dimensions. Such estimation is valid because vertical and 2D surface expansion of PG is approximately same. By selecting the mass and volume data at same RH from 10% to 90%, the relationship of mass vs. volume was plotted when PG is swelling. Remarkably, when RH is varying from 10% to 90%, mass changes nonlinearly with volume.

Methods

Humidity System

The steadily alternative RH is achieved by combining one dry lab air with another water-saturated air stream that pass through a water bottle. Commercial humidity sensor was inserted into AFM micro-chamber to monitor real time RH. The LABVIEW® program (National Instrument) can read and display real time RH. The dynamic change of high and low RH is provided by inserting two small peptide tip that connected to dry air and humid air into AFM chamber. These two tips were concisely placed to insure their direction is well aligned with PG sample. A solenoid valve (SMC) was used to block one air and allow only another air flow once upon a time. By applying a square wave to the solenoid valve, the dry and humid air can switch on and off abruptly.

Characterization of PG

Topography of PG at different RH was conducted by commercial AFM (Multimode 8, Bruker) in tapping mode. AFM tip was applied for imaging. Varying RH was carried out by above mentioned steady humidity system. Images of same location at different RH were captured then opened by Nanoscope Analysis 1.9 (Bruker) to analyze their sectional topographies. Plane fit command was used to eliminate tilt effect of sample. Afterwards, section command was used to extract the sectional topography of PG. By recording the peak height of each image at same location and dividing to original height, the relationship of steady state strain of PG with RH can be constructed.

Morphologies of PG were evaluated by SEM.

Data Acquirement of Dynamic Height Change and FD Curve

Commercial AFM (Multimode 8, Bruker) and 250 nm with 200 N/m LRCH probe was utilized to measure the dynamic height change and energy density of PG. The PG sample was scanned in Tapping mode and continuously decrease scan size and change offset to make sure the AFM tip was located upon PG. After the scan sizes decrease to 0.1 nm, the AFM feedback signal was switched from tapping amplitude to deflection. To measure dynamic height change of PG, RH inside AFM chamber change abruptly by using above mentioned dynamic humidity system. By offsetting feedback set point, digital signal of piezo scanner were monitored by LABVIEW® program. Digital signal of piezo scanner transfer into height change of PG by multiplying calibrated Z-scanner sensitivity. To obtain the FD curve produced by thermodynamic cycle, a digital signal of the photodiode was collected, which can transfer to applied force by multiplying calibrated deflection sensitivity and spring constant of cantilever. Herein, DS was calibrated by ramping on hard surface; spring constant by indenting reference cantilever. Time-aligned applied force and deflection consist the FD curve that can be used in calculating the energy density of PG.

Measurement of Stiffness

The stiffness of PG was characterized by performing AFM indentation on PG. At every steady RH, by using single ramp, force vs. deflection curve can be obtained. By using Nanoscope Analysis 1.8 (Bruker), the change force vs. deflection curve is changed into force vs. separation curve, where separation means indentation depth in this situation. According to the Hertz model of contact mechanics, Young's modulus of material can be calculated from the slope of force vs. indentation curve according to the formula: E=¾FR ^(−1/2) d ^(−3/2)  (1) where F is applied force, d is indentation depth and R is the AFM tip radius. Force and indention depth data at both end of the total indentation region can easily acquire from curves. The slope of curves and young's modulus were simply calculated using a spreadsheet program

Preparation and Characterization of Bending Actuator

The polyimide films with 13 μm thickness (McMaster-Curr) that used for bending actuator were cut into 3 mm×6 mm pieces. The concentration of PG sample were prepared by achieving 3 μm thickness onto 3 mm×6 mm polyimide film. Meanwhile, solution of adhesive were also prepared to maintain 1 μm thickness on film. These two solution were mixed and kept them in fridge overnight. Afterwards, sample solution (PG and adhesive) was deposited on polyimide film. Once the films were completely dry, they were moved into a closed chamber with one transparent wall. The air tube and humidity sensor that control and monitor RH have embedded into chamber before closing. Modulating RH inside of chamber from 10% to 90%, the responsiveness of films was recorded by a digital camera (Canon EOS Rebel SL1). Image J (NIH image) was used to analyze the curvature of film from recorded pictures by following steps: First, the ruler scale in the unit of pixel was measured. Then, three points were chosen at the curved edge and fit a circle with them. By measuring the diameter of fitting circle and transfer the unit from pixel to millimeter, curvature data of film at each RH was obtained.

Referring to FIG. 13, in one embodiment, a robot with a moveable appendage 1300 is provided. An artificial muscle 1302 is attached to the moveable appendage that actuates the appendage 1300. The artificial muscle 1302 comprise a flexible hollow tube. At least a portion of the internal surface of the artificial muscle 1302 is coated with a water-responsive material, such as PG. A source of moist fluid 1306 is fluidly connected to the flexible hollow tube. In one embodiment, the moist fluid 1306 is air with a high humidity. In another embodiment, the moist fluid 1306 is liquid water. The moist fluid 1306 can be selectively pumped into the flexible hollow tube and hydrate the PG. A source of dry fluid 1308 is also fluidly connected to the flexible hollow tube. The dry fluid 1308 can be selectively pumped into the flexible hollow tube and hydrate the PG. In one embodiment, the dry fluid 1308 is a low humidity gas. The content of the flexible hollow tube can be removed and collected in reservoir 1310. For example, moist fluid 1306 that is present in the hollow tube can be pushed out of the tube and into the reservoir by pumping dry fluid 1308 into the tube. This lowers the humidity within the tube. Alternatively, dry fluid in the tube can be pushed into the reservoir 1310 by pumping moist fluid 1306 into the tube. In this manner, the RH within the tube can be controlled which, in turn, controls expansion of the water-responsive material.

By coating a portion of the internal surface of the tube with the water-responsive material, expansion of the water-responsive material can bend the tube and actuate the appendage 1300. In one embodiment, between 10% and 90% of the internal surface of the area of the tube is coated with the water-responsive material and the remainder is uncoated. In this fashion, the artificial muscle can provide rotational movement, translational movement, expansion, contraction or a combination thereof. The PG in the aforementioned embodiment can be mixed with a secondary component, such as an epoxy, a cellulose or a collagen.

This written description uses examples to disclose the invention, including the best mode, and also to enable any person skilled in the art to practice the invention, including making and using any devices or systems and performing any incorporated methods. The patentable scope of the invention is defined by the claims, and may include other examples that occur to those skilled in the art. Such other examples are intended to be within the scope of the claims if they have structural elements that do not differ from the literal language of the claims, or if they include equivalent structural elements with insubstantial differences from the literal language of the claims. 

What is claimed is:
 1. A rotary engine comprising: an inner wheel having a first diameter and a first center; an outer wheel having a second diameter and a second center, wherein the second diameter is larger than the first diameter, wherein the inner wheel is disposed within the circumference; a crank with a first rod and a second rod, wherein the first rod and the second rod are non-aligned, the first rod passing through the first center and the second rod passing through the second center; a water-responsive material tensioned between the inner wheel and the outer wheel, wherein the water-responsive material is attached to (1) an outer circumference of the inner wheel and (2) an inner circumference of the outer wheel, wherein the water-responsive material comprises peptidoglycan (PG); a hood that at encloses at least a portion of an area of the outer wheel, but less than 100% of the area; an electrical generator operatively connected to the inner wheel such that rotary motion of the inner wheel generates electricity.
 2. The rotary engine as recited in claim 1, wherein the hood encloses at least 25% of an area of the outer wheel.
 3. The rotary engine as recited in claim 1, wherein the hood encloses at least 50% of an area of the outer wheel.
 4. The rotary engine as recited in claim 1, wherein the water-responsive material comprises a plurality of filaments.
 5. The rotary engine as recited in claim 1, wherein the inner wheel comprises an inner ball bearing.
 6. The rotary engine as recited in claim 1, wherein the outer wheel comprises an outer ball bearing.
 7. The rotary engine as recited in claim 1, wherein the outer wheel has a diameter that is between three times (3×) and seven times (7×) a diameter of the inner wheel.
 8. The rotary engine as recited in claim 1, wherein the outer wheel has a diameter that is between four and one-half (4.5×) and five and one-half (5.5×) a diameter of the inner wheel.
 9. A system for generating rotary motion, the system comprising: a body of water with a surface; a rotary engine disposed above the body of water, the rotary engine having a structure as recited in claim
 1. 10. The system as recited in claim 9, wherein the outer wheel and the inner wheel are disposed in parallel planes that are both parallel to the surface of the body of water.
 11. The system as recited in claim 9, wherein the outer wheel and the inner wheel are disposed in parallel planes that are both perpendicular to the surface of the body of water.
 12. The system as recited in claim 9, wherein the water-responsive material comprises a plurality of filaments. 